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Finding the Fourth Proportional to 156.21, 234.11 and 98.34

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Solution

The fourth proportional to 156.21, 234.11 and 98.34 is: 147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.21 : 234.11 = 98.34 : x
  2. Step 2: Convert to fraction form
    156.21/234.11 = 98.34/x
  3. Step 3: Cross multiply
    156.21x = 234.11 × 98.34
  4. Step 4: Simplify right side
    156.21x = 23,021.89
  5. Step 5: Solve for x
    x = 23,021.89/156.21
  6. Step 6: Final answer
    x = 147.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.